293364 has 36 divisors (see below), whose sum is σ = 769860. Its totient is φ = 94080.

The previous prime is 293357. The next prime is 293399. The reversal of 293364 is 463392.

293364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 116964 = 420^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 293364.

It is an unprimeable number.

293364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 904 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (21385).

2²⁹³³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384930).

293364 is an abundant number, since it is smaller than the sum of its proper divisors (476496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

293364 is a wasteful number, since it uses less digits than its factorization.

293364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 293364 is about 541.6308706121. The cubic root of 293364 is about 66.4460149424.

The spelling of 293364 in words is "two hundred ninety-three thousand, three hundred sixty-four".